Results 1 to 10 of about 176 (114)

Orbit Tracing Properties on Hyperspaces and Fuzzy Dynamical Systems

Axioms, 2022
Let X be a compact metric space and a continuous map f:X→X which defines a discrete dynamical system (X,f). The map f induces two natural maps, namely f¯:K(X)→K(X) on the hyperspace K(X) of non-empty compact subspaces of X and the Zadeh’s extension f^:F ...
Felix Martinez-Gimenez, Salud Bartoll Arnau, Alfred Peris   +2 more
exaly   +3 more sources

Plato’s Allegory of the ‘Cave’ and Hyperspaces: Sonic Representation of the ‘Cave’ as a Four-Dimensional Acoustic Space via an Interactive Art Application

AppliedMath
Mathematician and philosopher Charles Howard Hinton posited a plausible correlation between higher-dimensional spaces, also referred to as ‘hyperspaces’, and the allegorical concept articulated by the Ancient Greek philosopher Plato in his work, Republic,
Andreas Floros, Dimitrios Traperas
exaly   +3 more sources

Algebraic characterisation of hyperspace corresponding to topological vector space [PDF]

Journal of Hyperstructures, 2023
Let X be a Hausdor  topological vector space over the field of real or complex numbers. When Vietoris topology is given,the hyperspace ℘(X) of all nonempty compact subsets of X forms a topological exponential vector space over the same field. Exponential
Jayeeta Saha, Sandip Jana
doaj   +1 more source

Robot-assisted mapping of chemical reaction hyperspaces and networks [PDF]

Nature
Bartosz Grzybowski, Rafał Frydrych, Yankai Jia   +2 more
exaly   +2 more sources

Induced mappings on $C_n(X)/{C_n}_K(X)$

Математичні Студії, 2021
Given a continuum $X$ and $n\in\mathbb{N}$. Let $C_n(X)$ be the hyperspace of all nonempty closed subsets of $X$ with at most $n$ components. Let ${C_n}_K(X)$ be the hyperspace of all elements in $C_n(X)$ containing $K$ where $K$ is a compact subset of ...
E. Castañeda-Alvarado, J. G. Anaya, J. A. Martínez-Cortez   +2 more
doaj   +1 more source

Continua whose hyperspace of subcontinua is infinite dimensional and a cone

Extracta Mathematicae, 2023
We determine several classes of continua whose hyperspaces of subcontinua are infinite dimensional and homeomorphic to cones over (usually) other continuum. In particular, we obtain many Peano continua with such a property.
S. Macías, S.B. Nadler
doaj   +3 more sources

Asymptotic properties of the (convex) hyperspaces

Pracì Mìžnarodnogo Geometričnogo Centru, 2020
It is  known that the hyperspaces of compact sets and compact convex set of the Euclidean space $\mathbb R^n$, $n\ge2$, both are homeomorphic to the puctured Hilbert cube.
Mykhailo Zarichnyi, Mykhailo Romanskyi
doaj   +1 more source

Multivalued linear transformations of hyperspaces

Ratio Mathematica, 2014
The purpose of this paper is the study of multivalued linear transformations of hypervector spaces (or hyperspaces) in the sense of Tallini. In this regards first we introduce and study various multivalued linear transformations of hyperspaces and then ...
R. Ameri, R. A. Borzooei, K. Ghadimi
doaj   +1 more source

Selection principles and bitopological hyperspaces

Applied General Topology, 2023
In this paper we continue to research relationships between closure-type properties of hyperspaces over a space X and covering properties of X. For a Hausdorff space X we denote by 2X the family of all closed subsets of X.
Alexander V. Osipov
doaj   +1 more source

Approximate Fixed Points for Nonexpansive and Quasi-Nonexpansive Mappings in Hyperspaces

Fixed Point Theory and Applications, 2009
This paper provides a few convergence results of the Ishikawa iteration sequence with errors for nonexpansive and quasi-nonexpansive mappings in hyperspaces. The results presented in this paper improve and generalize some results in the literature.
Zeqing Liu, Jeong Sheok Ume, Shin Min Kang   +2 more
doaj   +2 more sources